Advanced Algebra
Summer Semester 2022
This is the website for the lecture course on Lie algebras and its associated exercise class.
Content
This course covers a selection of algebraic concepts and techniques that are used in many areas of mathematics. The starting point is the theory of rings and modules, from which we will proceed to topics in representation theory and the basics of homological algebra.
Prerequisites: Familiarity with basic notions from algebra (groups, rings) and a solid foundation in linear algebra. Previous (or parallel) exposure to category theory or representation theory (e.g. of Lie algebras) may be beneficial, but is not essential.